what is 5.702 written in expanded form? choose all the correct answers.\n$5+\frac{7}{100}+\frac{2}{1,000}$\n$…

what is 5.702 written in expanded form? choose all the correct answers.\n$5+\frac{7}{100}+\frac{2}{1,000}$\n$5+\frac{7}{10}+\frac{2}{1,000}$\n$5+(7\times\frac{1}{10})+(2\times\frac{1}{1,000})$\n$5+(7\times\frac{1}{10})+(2\times\frac{1}{100})$\n$5+(7\times0.1)+(2\times0.001)$\n$5+(7\times0.01)+(2\times0.001)$

what is 5.702 written in expanded form? choose all the correct answers.\n$5+\frac{7}{100}+\frac{2}{1,000}$\n$5+\frac{7}{10}+\frac{2}{1,000}$\n$5+(7\times\frac{1}{10})+(2\times\frac{1}{1,000})$\n$5+(7\times\frac{1}{10})+(2\times\frac{1}{100})$\n$5+(7\times0.1)+(2\times0.001)$\n$5+(7\times0.01)+(2\times0.001)$

Answer

Explanation:

Step1: Recall place - value of digits

In 5.702, 5 is in the ones place, 7 is in the tenths place, 0 is in the hundredths place and 2 is in the thousandths place.

Step2: Write in fraction form

The 7 in the tenths place is $\frac{7}{10}$, and the 2 in the thousandths place is $\frac{2}{1000}$. So 5.702 can be written as $5+\frac{7}{10}+\frac{2}{1000}$ or $5+(7\times\frac{1}{10})+(2\times\frac{1}{1000})$.

Step3: Write in decimal form

Since $\frac{1}{10}=0.1$ and $\frac{1}{1000}=0.001$, 5.702 can also be written as $5+(7\times0.1)+(2\times0.001)$.

Answer:

$5+\frac{7}{10}+\frac{2}{1000}$, $5+(7\times\frac{1}{10})+(2\times\frac{1}{1000})$, $5+(7\times0.1)+(2\times0.001)$